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Simplifying 9 + -1a = -8(1 + 3a) + 6a 9 + -1a = (1 * -8 + 3a * -8) + 6a 9 + -1a = (-8 + -24a) + 6a Combine like terms: -24a + 6a = -18a 9 + -1a = -8 + -18a Solving 9 + -1a = -8 + -18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18a' to each side of the equation. 9 + -1a + 18a = -8 + -18a + 18a Combine like terms: -1a + 18a = 17a 9 + 17a = -8 + -18a + 18a Combine like terms: -18a + 18a = 0 9 + 17a = -8 + 0 9 + 17a = -8 Add '-9' to each side of the equation. 9 + -9 + 17a = -8 + -9 Combine like terms: 9 + -9 = 0 0 + 17a = -8 + -9 17a = -8 + -9 Combine like terms: -8 + -9 = -17 17a = -17 Divide each side by '17'. a = -1 Simplifying a = -1
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